The amount she should invest today in the annuity is $455,450.40.
<h3>How much should be invested today?</h3>
The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 3.6/12 = 0.3%
- n = number of periods : 15 x 12 = 180
Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
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There are 6 sides on a standard number cube. Numbers are listed on it from 1-6. This being said, 4 and 5 together make up 2/6 of the cube. Since this fraction can be reduced, this leaves us with C. 1/3
Answer:
Fruit smoothie: $3.4
Protein bar: $2.5
Step-by-step explanation:
Let x represent cost of fruit smoothie and y represent cost of protein bar.
We have been given that Jake buys a fruit smoothie and a protein bar for $5.90. We can represent this information in an equation as:
We are also told that Kobe buys 2 fruit smoothies and 4 protein bars. He pays $16.80. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, each protein bar costs $2.5.
Upon substituting 
in equation (1), we will get:
Therefore, each fruit smoothie costs $3.4.
Answer:
uhhhh there's no question
Answer:
width = 18 cm
Step-by-step explanation:
perimeter of rectangle = 2(length + width)
then:
90 = 2(27+w)
90/2 = 27+w
w = width
45 = 27+w
45 - 27 = w
18 = w
Check:
90 = 2(27+18)
90 =2*45 =
